Sure, just install FreeBSD (or any other unix link OS) and don’t install a GUI. There are plenty of command line and terminal programs that still work great.

You can also use a GUI with hotkeys (including Windows if you must), but you will find a lot of things are not easy without a mouse. It can be done, but often not easy. If you use a open source desktop be prepared to fix a lot of bugs in this area for your chosen desktop and programs (please do - we all benefit)